Finite p-groups all of whose maximal abelian subgroups are soft  

作　　者：QU HaiPeng Department of Mathematics, Shanxi Normal University, Linfen 041004, China 

出　　处：《Science China Mathematics》2010年第11期3037-3040,共4页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant No.11071150);Natural Science Foundation of Shanxi Province (Grant No. 2008012001);The Returned Abroad-student Found of Shanxi Province (Grant No. [2007]13–56)

摘　　要：A subgroup A of a p-group G is said to be soft in G if CG(A) = A and |NG(A)/A| = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.A subgroup A of a p-group G is said to be soft in G if CG(A) = A and |NG(A)/A| = p. In this paper we determined finite p-groups all of whose maximal abelian subgroups are soft; see Theorem A and Proposition 2.4.

关 键 词：SOFT SUBGROUP P-GROUP of MAXIMAL class 

分 类 号：O152.2[理学—数学]